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45530071076520 = 233655329460149
BaseRepresentation
bin10100101101000110010111…
…01101101000111010101000
312222012122001221021211000000
422112203023231220322220
521431431041143422040
6240500120443343000
712406303414443342
oct1226431355507250
9188178057254000
1045530071076520
1113564216179988
125134048821a60
131c5360c7c93a4
14b3594ab12292
1553e51d03a130
hex2968cbb68ea8

45530071076520 has 224 divisors, whose sum is σ = 156491727597000. Its totient is φ = 11912269764096.

The previous prime is 45530071076507. The next prime is 45530071076527. The reversal of 45530071076520 is 2567017003554.

It is a happy number.

45530071076520 is a `hidden beast` number, since 4 + 5 + 53 + 0 + 0 + 7 + 1 + 0 + 76 + 520 = 666.

45530071076520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 25995987087876 + 19534083988644 = 5098626^2 + 4419738^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (45530071076527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13184595 + ... + 16275554.

Almost surely, 245530071076520 is an apocalyptic number.

45530071076520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45530071076520 is an abundant number, since it is smaller than the sum of its proper divisors (110961656520480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45530071076520 is a wasteful number, since it uses less digits than its factorization.

45530071076520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29460231 (or 29460212 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 45530071076520 in words is "forty-five trillion, five hundred thirty billion, seventy-one million, seventy-six thousand, five hundred twenty".